DIOPHANTINE APPROXIMATION WITH ARITHMETIC FUNCTIONS, I

被引：0

作者：

Alkan, Emre ^{[1
]}

Ford, Kevin ^{[2
]}

Zaharescu, Alexandru ^{[2
]}

机构：

[1] Koc Univ, Dept Math, TR-34450 Istanbul, Turkey

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 361卷 / 05期

基金：

美国国家科学基金会;

关键词：

Diophantine approximation; additive functions; multiplicative functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a strong simultaneous Diophantine approximation theorem for values of additive and multiplicative functions provided that the functions have certain regularity on the primes.

引用

页码：2263 / 2275

页数：13

共 50 条

[1] Diophantine approximation with arithmetic functions, II
Alkan, Emre
Ford, Kevin
Zaharescu, Alexandru
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2009, 41 : 676 - 682
[2] The arithmetic of diophantine approximation groups I: linear theory
Gendron, T. M.
NEW YORK JOURNAL OF MATHEMATICS, 2019, 25 : 238 - 314
[3] Diophantine approximation with multiplicative functions
Glyn Harman
Monatshefte für Mathematik, 2010, 160 : 51 - 57
[4] Diophantine approximation with multiplicative functions
Harman, Glyn
MONATSHEFTE FUR MATHEMATIK, 2010, 160 (01): : 51 - 57
[5] CUSPIDAL FUNCTIONS AND DIOPHANTINE APPROXIMATION
HOFFMANN, W
MATHEMATISCHE ANNALEN, 1991, 291 (02) : 357 - 372
[6] ARITHMETIC DISTANCE FUNCTIONS AND HEIGHT FUNCTIONS IN DIOPHANTINE GEOMETRY
SILVERMAN, JH
MATHEMATISCHE ANNALEN, 1987, 279 (02) : 193 - 216
[7] SOME DIOPHANTINE EQUATIONS INVOLVING ARITHMETIC FUNCTIONS
NICOL, CA
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 15 (01) : 154 - &
[8] S-arithmetic inhomogeneous Diophantine approximation on manifolds
Datta, Shreyasi
Ghosh, Anish
ADVANCES IN MATHEMATICS, 2022, 400
[9] ON THE APPROXIMATION OF QUASIPERIODIC FUNCTIONS WITH DIOPHANTINE FREQUENCIES BY PERIODIC FUNCTIONS
Jiang, Kai
Li, Shifeng
Zhang, Pingwen
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2025, 57 (01) : 951 - 978
[10] SIMULATANEOUS HOMOGENEOUS DIOPHANTINE APPROXIMATION I
WILLS, JM
MONATSHEFTE FUR MATHEMATIK, 1968, 72 (03): : 254 - &

← 1 2 3 4 5 →